EXAMPLE II.

What is the area of a rectangle ABCD, whose length AB

is 12f. 61. and the breadth BC 2f. 9i.

What is the area of a rhombus ABCD, the length AB being

EXAMPLE. IV.

What is the area of a rhomboides ABCD, whose length AB

is 16f. 31. and the height DE 5f. 6i.?

Multiply the base by the perpendicular height, and half the product will be the area.

EXAMPLE 1.

What is the area of a triangle ABC, the base AB being 12f. 31. and the height BC 8f. 6i. ?

EXAMPLE II.

What is the area of a triangle ABC, whose base AB is 18f. 41. and the height CD, 10f. 3i,?

To find the area of a triangle, whose three sides only are given.

From the half sum of the three sides, subtract each side severally; multiply the half sum and the three remainders together, and the square root of the product will be the area required.

EXAMPLE I.

Requireth the area of a triangle ABC, whose three sides AB, BC, and CA, are respectively 13, 14, and 15 feet.

PROBLEM IV.

Any two sides of a right angled triangle being given, to find a third side.

CASE I.

When the two sides are given, to find the hypothenuse.

Add the squares of the two legs together, and the square root of the sum will be the hypothenuse.

EXAMPLE I.

Requireth the hypothenuse AC of the right angle ABC, the above AB being 4, and the perpendicular BC 3.

In the right angle triangle ABC, the base AB is 56, and the perpendicular BC is 33, requireth the hypothenuse.